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3 years ago

I need help Im not too good Solving Problems Involving get Unig Rate.

Mathematics

1 answer:

ira [324]3 years ago

3 0

To find unit rate, it's typically done with the equation (y/X). in this case X=minutes and y=laps. so plug the numbers into the equation.(81/27). whatever the answers is, that's your constant of proportionality, or unit rate. multiply your unit rate with the minutes and divide the laps by the unit rate to find the minutes.

minutes=m
laps=l
unit rate=k

m×k=l
l/k=m

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Dahasolnce [82]

The answer would be a. 9/10 after simplifying 18/20 which is what you get after getting your common denominator.

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3 years ago

Simplify: 10(48 1/4)-3(3 1/4)

bulgar [2K]

Answer:

472.75 or 472 3/4

Step-by-step explanation:

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3 years ago

What is the length of AC?

Hatshy [7]

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3 years ago

Please help me solve this.

ASHA 777 [7]

Sin^2(x) + cos^2(x) = 1
sin^2(x) = 1 - cos^2(x)

Replace sin^2(x) in the equation with 1 - cos^2(x)
2(1 - cos^2(x)) - 5cosx + 1 = 0
2 - 2cos^2(x) - 5cosx + 1 = 0
2cos^2(x) + 5cos x - 3 = 0
Let cosx = y
2y^2 + 5y - 3 = 0
(2y -1)(y + 3) = 0
y = cosx so:
cosx = ½,
cosx = -3 (gives no solutions since cos domain is -1 to 1)
Therefore x = pi/3, (2pi - pi/3) = 5/3pi

5 0

3 years ago

Read 2 more answers

Help me pls w dis question

Harman [31]

Answer:

x = 2 and x = 5

Step-by-step explanation:

What are the roots of an equation?

In simple terms, the roots are simply the x intercepts of an equation.

How to find the roots of a quadratic equation:

We can find the roots of a quadratic equation one of three ways. Here you will learn how to do all three ways.

The first way (easiest way) :

The first way to find the roots of a quadratic equation is to graph the equation on a calculator and find where the equation crosses the x axis ( these are the x intercepts )

If you look at the attached image, you see the given equation x² - 7x + 10 = 0 graphed. The equation passes the x axis at (2,0) and (5,0) meaning the roots are x = 2 and x = 5.

Second way : Using the quadratic formula:

If you don't have a calculator or don't know how to graph the equation this is the best alternative way to find the roots.

The quadratic formula is : $\frac{-b\pm\sqrt{b^2-4(a)(c)} }{2(a)}$

Where the values of a,b and c are derived from the quadratic equation which should be written in quadratic form : ax² + bx + c = 0

This is the case here so we can easily define our variables and plug them into our formula

We have "ax² + bx + c = 0" = x² - 7x + 10 = 0 so we can say a = 1 , b = -7 and c = 10

We now plug these into the formula

Recall formula : $\frac{-b\pm\sqrt{b^2-4(a)(c)} }{2(a)}$

==> plug in a = 1 , b = -7 and c = 10

$\frac{-(-7)\pm\sqrt{(-7)^2-4(10)(1))} }{2(1)}$

==> remove parenthesis from -(-7)

$\frac{7\pm\sqrt{(-7)^2-4(10)(1))} }{2(1)}$

==> simplify exponents

$\frac{7\pm\sqrt{(49-4(10)(1))} }{2(1)}$

==> simplify all multiplication

$\frac{7\pm\sqrt{49-40} }{2}$

==> subtract 40 from 49

$\frac{7\pm\sqrt{9} }{2}$

==> simplify sqrt

$\frac{7\pm3 }{2}$

==> simplify +/-

$\frac{7+3 }{2},\frac{7-3 }{2}\\\frac{10 }{2},\frac{4 }{2}$

==> simplify division

5 , 2

The roots are x = 5 and x = 2

( Note that we used BPEMDAS to evaluate the formula when the values of a,b and c were plugged in. BPEMDAS is simply folllowing an order of operations to ensure you get the right answer. The order is as follows : Brackets , Parenthesis (any operations inside of parenthesis) , Exponents , Multiplication and Division ( do in order going left to right ) , Addition and Subtract ( do in order going left to right )

Also note that the quadratic formula ALWAYS WORKS.

Last way: Factoring

Finally, we can also find the roots by factoring.

We have x² - 7x + 10 = 0

We must first find a number that multiplies to 10 and adds to -7

We can do so by listing the factors of 10

Factors of 10 include , 10 and 1 , -10 and -1 , -5 and -2, and 5 and 2

Out of these we want to find the multiples that add to -7

10 + 1 = 11

-10 + -1 = -11

-5 + - 2 = -7

5 + 2 = 7

The multiples that add to -7 are -5 and -2 .

From there we want to split the -7 and x² to get (x-5)(x-2)

We then solve the roots by setting the individual factors to 0

x - 5 = 0

==> add 5 to both sides

x = 5

x - 2 = 0

==> add 2 to both sides

x = 2

8 0

1 year ago